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132744364281 = 321214472
BaseRepresentation
bin111101110100000101…
…1100100000011111001
3110200122011221101200100
41323220023210003321
54133330024124111
6140552032230013
712406346323254
oct1735013440371
9420564841610
10132744364281
1151329807691
122188799b309
13c696622419
1465d3b6a09b
1536bdc5d756
hex1ee82e40f9

132744364281 has 9 divisors (see below), whose sum is σ = 191743438341. Its totient is φ = 88495514172.

The previous prime is 132744364273. The next prime is 132744364301. The reversal of 132744364281 is 182463447231.

The square root of 132744364281 is 364341.

It is a perfect power (a square), and thus also a powerful number.

132744364281 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 4 + 364 + 281 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 132744364281 - 23 = 132744364273 is a prime.

It is a super-2 number, since 2×1327443642812 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132744364241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1032300 + ... + 1153746.

Almost surely, 2132744364281 is an apocalyptic number.

132744364281 is the 364341-st square number.

132744364281 is the 182171-st centered octagonal number.

It is an amenable number.

132744364281 is a deficient number, since it is larger than the sum of its proper divisors (58999074060).

132744364281 is an frugal number, since it uses more digits than its factorization.

132744364281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242900 (or 121450 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

It can be divided in two parts, 132744 and 364281, that added together give a square (497025 = 7052).

The spelling of 132744364281 in words is "one hundred thirty-two billion, seven hundred forty-four million, three hundred sixty-four thousand, two hundred eighty-one".

Divisors: 1 3 9 121447 364341 1093023 14749373809 44248121427 132744364281